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Finding the Fourth Proportional to 313,999.70, 471,028.35 and 103,638.10

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Solution

The fourth proportional to 313,999.70, 471,028.35 and 103,638.10 is: 155,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,999.70 : 471,028.35 = 103,638.10 : x
  2. Step 2: Convert to fraction form
    313,999.70/471,028.35 = 103,638.10/x
  3. Step 3: Cross multiply
    313,999.70x = 471,028.35 × 103,638.10
  4. Step 4: Simplify right side
    313,999.70x = 48,816,483,240.14
  5. Step 5: Solve for x
    x = 48,816,483,240.14/313,999.70
  6. Step 6: Final answer
    x = 155,466.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.